There is an excellent book titled "Zen Christianity" by Dom Aelred Graham. He is a Christian theologian who gives an excellent and rigorous examination of similar issues from the more meditative perspective and in light of tradition scriptural teaching.

Another intersting perspective is Fr. Robert Kennedy, who is a Jesuit, a Catholic priest, and is also a holder of the dharma as a Zen roshi at Morning Star Zendo. He has written a book on Zen practice for Christians, which I sadly have not yet read.

Yamada Koun Roshi, Fr. Kennedy's teacher in Zen reportedly instructed him that " I am not trying to make you a Buddhist, but to empty you in imitation of your Lord Jesus Christ."